Establishes equivalence between global regularity of 2D twisted PDOs and regularity plus injectivity of corresponding 1D polynomial-coefficient ODEs, fully characterized by Weyl symbol asymptotics.
and Rodino, L., Global pseudo-differential calculus on Euclidean spaces , Pseudo- Differential Operators
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Global regularity of second order twisted differential operators
Establishes equivalence between global regularity of 2D twisted PDOs and regularity plus injectivity of corresponding 1D polynomial-coefficient ODEs, fully characterized by Weyl symbol asymptotics.